Barycentric Drawings of Periodic Graphs
Delgado-Friedrichs, Olaf (2004) Barycentric Drawings of Periodic Graphs. In: Graph Drawing 11th International Symposium, GD 2003, September 21-24, 2003, Perugia, Italy , pp. 178-189 (Official URL: http://dx.doi.org/10.1007/978-3-540-24595-7_17).
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We study barycentric placement of vertices in periodic graphs of dimension 2 or higher. Barycentric placements exist for every connected periodic graph, are unique up to affine transformations, and provide a versatile tool not only in drawing, but also in computation. Example applications include symmetric convex drawing in dimension 2 as well as determining topological types of crystals and computing their ideal symmetry groups.
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